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Operads, homotopy theory and higher categories in algebraic quantum field theory

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arxiv 2305.03372 v1 pith:UCEKNYIF submitted 2023-05-05 math-ph hep-thmath.ATmath.MP

Marco Benini , Alexander Schenkel This is my paper · ORCID
classification math-phhep-thmath.ATmath.MP
keywords categoriestheoryalgebraicfieldhigheroperadsquantumabstract
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This chapter provides a non-technical overview and motivation for the recent interactions between algebraic quantum field theory (AQFT) and rather abstract mathematical disciplines such as operads, model categories and higher categories.

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  1. An equivalence theorem for algebraic and functorial QFT

    math-ph 2025-04 conditional novelty 8.0 of 10

    A new n-to-1 Lorentzian bordism pseudo-operad makes additive time-slice AQFTs equivalent to functorial QFTs.

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